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14871337312 = 2513317112771
BaseRepresentation
bin11011101100110011…
…01001100101100000
31102101102001012122211
431312121221211200
5220424030243222
610455400211504
71034345165356
oct156631514540
942342035584
1014871337312
116341533917
122a70469b94
13152ccab1a0
14a110d17d6
155c089c277
hex376669960

14871337312 has 48 divisors (see below), whose sum is σ = 31629839472. Its totient is φ = 6841981440.

The previous prime is 14871337291. The next prime is 14871337319. The reversal of 14871337312 is 21373317841.

14871337312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14871337319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75487 + ... + 188257.

It is an arithmetic number, because the mean of its divisors is an integer number (658954989).

Almost surely, 214871337312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14871337312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814919736).

14871337312 is an abundant number, since it is smaller than the sum of its proper divisors (16758502160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14871337312 is a wasteful number, since it uses less digits than its factorization.

14871337312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113111 (or 113103 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The spelling of 14871337312 in words is "fourteen billion, eight hundred seventy-one million, three hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 317 416 634 1268 2536 4121 5072 8242 10144 16484 32968 65936 112771 131872 225542 451084 902168 1466023 1804336 2932046 3608672 5864092 11728184 23456368 35748407 46912736 71496814 142993628 285987256 464729291 571974512 929458582 1143949024 1858917164 3717834328 7435668656 14871337312